An unravelling algorithm for global analysis of dynamical systems: An application of cell-to-cell mappings

Journal of Applied Mechanics, Transactions ASME

Volumn 47, Issue 4, 1980, Pages 940-948

  Hsu, C S ^a   Guttatu, R S ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MECHANICS;

EID: 0019228411     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.3153817     Document Type: Article

References (7)

1. Bernussou, J. Point Mapping Stability, Pergamon Press, New York, 1977.
2. Marsden, J. E., and McCracken, M The Hopf Bifurcation and Its Applications, Springer-Verlag, New York, 1976.
3. Hsu, C. S., Yee, H. C, and Cheng, W. H. “Steady-State Response of a Nonlinear System Under Impulsive Periodic Parametric Excitation," Journal of Sound and Vibration, Vol. 50, 1977, pp. 95-116.
4. Hsu, C. S. “On Nonlinear Parametric Excitation Problems," Advances in Applied Mechanics, Vol. 17, 1977, pp. 245-301.
5. Hsu, C. S. “Nonlinear Behavior of Multibody Systems Under Impulsive Parametric Excitation," Dynamics of Multibody Systems, ed., Magnus, K., Springer-Verlag, Proceedings of the IUTAM Symposium on Dynamics of Multibody Systems, held in Munich, Germany, August 29-September 3,1977, pp. 63-74.
6. Hsu, C. S. “A Theory of Cell-To-Cell Mapping Dynamical Systems," ASME JOURNAL OF APPLIED MECHANICS, Vol. 47, 1980, pp. 931-939.
7. Hsu, C. S., Yee, H. C., and Cheng, H. H. “Determination of Global Regions of Asymptotic Stability for Difference Dynamical Systems," ASME JOURNAL OP APPLIED MECHANICS, Vol. 44, 1977, pp. 147-153.